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Finding the Fourth Proportional to 164,839, 227,477.82 and 89,387.56

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Solution

The fourth proportional to 164,839, 227,477.82 and 89,387.56 is: 123,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,839 : 227,477.82 = 89,387.56 : x
  2. Step 2: Convert to fraction form
    164,839/227,477.82 = 89,387.56/x
  3. Step 3: Cross multiply
    164,839x = 227,477.82 × 89,387.56
  4. Step 4: Simplify right side
    164,839x = 20,333,687,283.92
  5. Step 5: Solve for x
    x = 20,333,687,283.92/164,839
  6. Step 6: Final answer
    x = 123,354.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.